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Finding the Third Proportional to 179,639 and 249,771

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Solution

The third proportional to 179,639 and 249,771 is: 347,282.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,639 : 249,771 = 249,771 : x
  2. Step 2: Convert to fraction form
    179,639/249,771 = 249,771/x
  3. Step 3: Cross multiply
    179,639x = 249,771 × 249,771
  4. Step 4: Simplify right side
    179,639x = 62,385,552,441
  5. Step 5: Solve for x
    x = 62,385,552,441/179,639
  6. Step 6: Final answer
    x = 347,282.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.